\contentsline {chapter}{Introduction}{1}
\contentsline {chapter}{\numberline {1}Theoretical background for claims distribution}{2}
\contentsline {section}{\numberline {1.1}Individual model}{2}
\contentsline {section}{\numberline {1.2}Overview of distributions}{2}
\contentsline {subsection}{\numberline {1.2.1}Exponential distribution}{2}
\contentsline {subsection}{\numberline {1.2.2}Pareto distribution}{3}
\contentsline {subsection}{\numberline {1.2.3}Gamma distribution}{4}
\contentsline {section}{\numberline {1.3}Methods for fitting parameters of distributions}{4}
\contentsline {subsection}{\numberline {1.3.1}Maximal likelihood}{4}
\contentsline {subsection}{\numberline {1.3.2}Method of moments}{6}
\contentsline {section}{\numberline {1.4}More complicated distributions}{7}
\contentsline {section}{\numberline {1.5}Collective model}{7}
\contentsline {section}{\numberline {1.6}Back diagnostics}{7}
\contentsline {chapter}{\numberline {2}Practise}{8}
\contentsline {section}{\numberline {2.1}}{8}
\contentsline {chapter}{Conclusion}{9}
\contentsline {chapter}{Bibliography}{10}
\contentsline {chapter}{List of figures}{11}
\contentsline {chapter}{List of tables}{12}
\contentsline {chapter}{List of used abbreviations}{13}
\contentsline {chapter}{List of appendixes}{14}
